1 | ; File name : math.asm |
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2 | ; Project name : Math library |
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3 | ; Created date : 7.10.2009 |
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4 | ; Last update : 4.1.2011 |
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5 | ; Author : Tomi Tilli, |
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6 | ; : Krister Nordvall (optimizations) |
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7 | ; Description : ASM library to for math related functions. |
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8 | |
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9 | ;--------------- Equates ----------------------------- |
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10 | |
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11 | ; String library function to include |
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12 | %define USE_MATH_MULDWBYW ; Math_MulDWbyW |
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13 | %define USE_MATH_DIVDWBYW ; Math_DivDWbyW |
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14 | %define USE_MATH_REMTOTENTHS ; Math_RemToTenths |
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15 | |
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16 | |
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17 | ;-------------- Private global variables ------------- |
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18 | ; Section containing initialized data |
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19 | ;SECTION .data |
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20 | |
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21 | |
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22 | ;-------------- Public functions --------------------- |
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23 | ; Section containing code |
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24 | SECTION .text |
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25 | |
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26 | |
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27 | ;-------------------------------------------------------------------- |
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28 | ; Macro to select lesser of two unsigned operands. |
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29 | ; |
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30 | ; MIN_U |
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31 | ; Parameters: |
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32 | ; %1: Operand 1 |
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33 | ; %2: Operand 2 |
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34 | ; Returns: |
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35 | ; %1: Lesser unsigned operand |
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36 | ; Corrupts registers: |
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37 | ; Nothing |
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38 | ;-------------------------------------------------------------------- |
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39 | %macro MIN_U 2 |
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40 | cmp %1, %2 ; Is %1 smaller? |
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41 | jb %%Return ; If so, return |
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42 | mov %1, %2 ; Copy %2 to %1 |
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43 | ALIGN JUMP_ALIGN |
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44 | %%Return: |
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45 | %endmacro |
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46 | |
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47 | |
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48 | ;-------------------------------------------------------------------- |
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49 | ; Macro to select greater of two unsigned operands. |
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50 | ; |
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51 | ; MAX_U |
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52 | ; Parameters: |
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53 | ; %1: Operand 1 |
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54 | ; %2: Operand 2 |
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55 | ; Returns: |
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56 | ; %1: Greater unsigned operand |
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57 | ; Corrupts registers: |
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58 | ; Nothing |
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59 | ;-------------------------------------------------------------------- |
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60 | %macro MAX_U 2 |
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61 | cmp %1, %2 ; Is %1 greater? |
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62 | ja %%Return ; If so, return |
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63 | mov %1, %2 ; Copy %2 to %1 |
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64 | ALIGN JUMP_ALIGN |
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65 | %%Return: |
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66 | %endmacro |
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67 | |
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68 | |
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69 | ;-------------------------------------------------------------------- |
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70 | ; Macro to select lesser and greater of two unsigned operands. |
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71 | ; |
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72 | ; MINMAX_U |
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73 | ; Parameters: |
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74 | ; %1: Operand 1 |
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75 | ; %2: Operand 2 |
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76 | ; Returns: |
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77 | ; %1: Lesser unsigned operand |
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78 | ; %2: Greater unsigned operand |
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79 | ; Corrupts registers: |
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80 | ; Nothing |
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81 | ;-------------------------------------------------------------------- |
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82 | %macro MINMAX_U 2 |
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83 | cmp %1, %2 ; Is %1 smaller? |
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84 | jbe %%Return ; If so, return |
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85 | xchg %1, %2 ; Exchange operands |
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86 | ALIGN JUMP_ALIGN |
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87 | %%Return: |
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88 | %endmacro |
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89 | |
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90 | |
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91 | ;-------------------------------------------------------------------- |
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92 | ; DWORD * WORD multiplication. |
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93 | ; Multiplies unsigned 32-bit integer by unsigned 16-bit integer. |
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94 | ; Result is unsigned 32-bit integer, so overflow is possible. |
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95 | ; |
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96 | ; Math_MulDWbyW |
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97 | ; Parameters: |
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98 | ; DX:AX: 32-bit unsigned integer to multiply |
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99 | ; CX: 16-bit unsigned multiplier |
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100 | ; Returns: |
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101 | ; DX:AX: 32-bit unsigned integer |
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102 | ; Corrupts registers: |
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103 | ; Nothing |
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104 | ;-------------------------------------------------------------------- |
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105 | %ifdef USE_MATH_MULDWBYW |
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106 | ALIGN JUMP_ALIGN |
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107 | Math_MulDWbyW: |
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108 | jcxz .RetZero ; If CX=0, return 0 |
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109 | push bx |
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110 | mov bx, dx ; Copy hiword to BX |
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111 | xor dx, dx ; Zero DX for multiplication |
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112 | mul cx ; DX:AX = AX (loword) * CX (multiplier) |
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113 | push dx ; Push possible overflow |
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114 | xchg ax, bx ; => AX=old hiword, BX=new loword |
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115 | xor dx, dx ; Zero DX for division |
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116 | mul cx ; DX:AX = AX (hiword) * CX (multiplier) |
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117 | pop dx ; Pop possible overflow from first mul |
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118 | add dx, ax ; Add new hiword to overflow from first mul |
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119 | mov ax, bx ; Copy new loword to AX |
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120 | pop bx |
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121 | ret |
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122 | ALIGN JUMP_ALIGN |
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123 | .RetZero: ; Return 0 in DX:AX |
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124 | xor ax, ax |
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125 | cwd |
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126 | ret |
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127 | %endif |
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128 | |
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129 | |
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130 | ;-------------------------------------------------------------------- |
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131 | ; Divide a 32-bit unsigned integer so that quotient can be 32-bit. |
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132 | ; |
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133 | ; Math_DivDWbyW |
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134 | ; Parameters: |
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135 | ; DX:AX: 32-bit unsigned divident |
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136 | ; CX: 16-bit unsigned divisor |
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137 | ; Returns: |
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138 | ; DX:AX: 32-bit unsigned quotient |
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139 | ; BX: 16-bit unsigned remainder |
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140 | ; Corrupts registers: |
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141 | ; Nothing |
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142 | ;-------------------------------------------------------------------- |
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143 | %ifdef USE_MATH_DIVDWBYW |
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144 | ALIGN JUMP_ALIGN |
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145 | Math_DivDWbyW: |
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146 | xor bx, bx |
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147 | xchg bx, ax |
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148 | xchg dx, ax |
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149 | div cx |
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150 | xchg ax, bx |
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151 | div cx |
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152 | xchg dx, bx |
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153 | ret |
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154 | %endif |
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155 | |
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156 | |
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157 | ;-------------------------------------------------------------------- |
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158 | ; Converts remainder to tenths. |
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159 | ; |
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160 | ; Math_RemToTenths |
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161 | ; Parameters: |
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162 | ; BX: 16-bit unsigned remainder |
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163 | ; CX: 16-bit unsigned divisor used when calculated the remainder (max 2559) |
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164 | ; Returns: |
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165 | ; BX: Remainder converted to tenths |
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166 | ; Corrupts registers: |
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167 | ; Nothing |
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168 | ;-------------------------------------------------------------------- |
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169 | %ifdef USE_MATH_REMTOTENTHS |
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170 | ALIGN JUMP_ALIGN |
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171 | Math_RemToTenths: |
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172 | push cx |
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173 | push ax |
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174 | mov al, 10 ; Load 10 to AL |
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175 | xchg cx, ax ; AX = Divisor CL = 10 |
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176 | div cl ; AL = Divisor divided by 10 |
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177 | inc ax ; Increment to compensate new remainder |
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178 | xchg ax, bx ; AX = 16-bit remainder to convert |
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179 | ; BL = Original divisor divided by 10 |
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180 | div bl ; AX = Original remainder converted to tenths |
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181 | eMOVZX bx, al ; Copy return value to BX |
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182 | pop ax |
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183 | pop cx |
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184 | ret |
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185 | %endif |
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